
January 13th, 2009, 05:03 PM
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 | The Lord of The Rings! | | Join Date: May 2008 Location: Vancouver, Canada
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Quote:
Originally Posted by prometheos We just started class and our first HW problem over a chapter we haven't gotten to yet has me stumped.
The instructor made this one up I believe, and the following is from the chalkboard;
[1 2 0 1 3 | 4 ] is the reduced row echelon form if [A.b] for the eqn.
[0 0 1 2 4 | -3] Ax=b. Find solution for x.
[0 0 0 0 0 | 0 ]
From what I can gather by reading ahead in the book is for an Ax=b situation the solution is given by x=A^-1 * b... or x equals the inverse of A times b. From what I have read, inverses can only be calculated from matrices that are square or nxn dimensions. Therefore, I am stumped.
Any help is greatly appreciated, even if you just show me a general method, so I can solve it on my own. | just write  as a system of equations and solve it:  we have two equations and 5 variables.
the solutions are:  note that  are free variables. |